This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <cstdio>
#include <iostream>
#include <algorithm>
#include <string>
#include <cstring>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <cmath>
#include <iomanip>
#include <cassert>
#include <bitset>
using namespace std;
typedef pair<int, int> P;
#define rep(i, n) for (int i=0; i<(n); i++)
#define all(c) (c).begin(), (c).end()
#define uniq(c) c.erase(unique(all(c)), (c).end())
#define index(xs, x) (int)(lower_bound(all(xs), x) - xs.begin())
#define _1 first
#define _2 second
#define pb push_back
#define INF 1145141919
#define MOD 1000000007
inline void add(int &x, int v) { x += v; if (x >= MOD) x -= MOD; }
int dp0[2001][2001];
int dp1[2001][2001];
int solve(int N, int CS, int CF) {
rep(j, N+1) rep(k, N+1) dp0[j][k] = 0;
dp0[CS][CF-(CS<CF)] = 1;
rep(i, N-2) {
int n = N-1-i;
rep(j, n+1) rep(k, n+1) dp1[j][k] = 0;
if (i%2 == 0) {
rep(j, n+1) {
rep(k, n+1) {
if (dp0[j][k] == 0) continue;
for (int x=j; x<n; x++) if (x != k) add(dp1[x][k-(x<=k)], dp0[j][k]);
}
}
}
else {
rep(j, n+1) {
rep(k, n+1) {
if (dp0[j][k] == 0) continue;
for (int x=0; x<j; x++) if (x != k) add(dp1[x][k-(x<=k)], dp0[j][k]);
}
}
}
swap(dp0, dp1);
}
int s = 0;
rep(j, N+1) {
rep(k, N+1) {
if ((N-2)%2 == 0) {
if (j == 0 && k == 0) add(s, dp0[j][k]);
}
else {
if (k <= j-1) add(s, dp0[j][k]);
}
}
}
return s;
}
signed main() {
ios::sync_with_stdio(false); cin.tie(0);
int N, CS, CF;
cin >> N >> CS >> CF;
CS--, CF--;
int s = solve(N, CS, CF);
CS = N-1-CS, CF = N-1-CF;
add(s, solve(N, CS, CF));
cout << s << "\n";
return 0;
}
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